The ratio of the number of blue stickers to green stickers is 6 : 1.
After Adam buys another 44 green stickers and gives away 16 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 7 = (4) |
Before |
12 u |
6 u |
1 u |
7 u |
Change |
- 32 |
- 16 |
+ 44 |
+ 308 |
After |
14 p |
7 p |
2 p |
14 p |
6 u + 44 = 7 p --- (1)
1 u - 16 = 2 p --- (2)
Make p the same.
(1)
x 212 u - 32 = 14 p --- (3)
(2)
x 77 u + 308 = 14 p --- (4)
(3) = (4)
12 u - 32 = 7 u + 308
12 u - 7 u = 32 + 308
5 u = 340
1 u = 340 ÷ 5 = 68
Number of stickers that Adam have now
= 6 u + 44 + 1 u - 16
= 6 u + 1 u + 44 - 16
= 7 u + 28
= 7 x 68 + 28
= 476 + 28
= 504
Answer(s): 504